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Finding the Fourth Proportional to 320.11, 441.80 and 195.79

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Solution

The fourth proportional to 320.11, 441.80 and 195.79 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.11 : 441.80 = 195.79 : x
  2. Step 2: Convert to fraction form
    320.11/441.80 = 195.79/x
  3. Step 3: Cross multiply
    320.11x = 441.80 × 195.79
  4. Step 4: Simplify right side
    320.11x = 86,500.02
  5. Step 5: Solve for x
    x = 86,500.02/320.11
  6. Step 6: Final answer
    x = 270.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.